Existence for critical Schrödinger–Bopp–Podolsky system with $ p $-Laplacian in $ \mathbb{R}^3 $
Abstract
We intend to study a class of the critical Schrödinger–Bopp–Podolsky system with $ p $-Laplacian in $ \mathbb{R}^3 $. Under different perturbation terms, the existence and multiplicity of nontrivial solutions are obtained by using critical point theorem. Considering the influence of the $ p $-Laplacian operator and critical and nonlocal terms, which cause the loss of the compactness condition, we attempt to address this difficulty by using the concentration-compactness principle and some clever analysis.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Nonlinear Differential Equations Analysis
Advanced Mathematical Physics Problems
Publication details
- Journal / source
- Electronic Research Archive
- Volume
- 34
- Issue
- 3
- Pages
- 1434–1447
- Publication date
- 1 January 2026
- Language
- EN